Shape memory alloy (SMA) hybrid adaptive composites are a class of materials which
combine the strain recovery and elastic properties transformation capabilities of SMA
fibers with the structural characteristics of advanced composite materials. This study
utilizes the Rayleigh-Ritz method and finite panel acoustic radiation theory to investigate
the use of SMA hybrid composite materials for adaptive structural acoustic
control by active structural tuning. Analytical models are formulated considering
classical laminated plate theory (CLPT) and first-order shear deformation theory
(FSDT), to predict modal and structural acoustic response to incident low frequency
plane wave acoustic excitation. The analysis is further developed to consider simply
supported adaptive panels that are tuned by local fiber activation, such that a panel
composed of elastically uniform sections can be evaluated in a piece-wise fashion.